Theorems · Theorem · group theory
CategoryTheory.Subgroupoid.hom.faithful
∀ {C : Type u} [inst : CategoryTheory.Groupoid C] (S : CategoryTheory.Subgroupoid C) (c d : ↑S.objs),
Function.Injective fun f => S.hom.map f- Cited by
- 0 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Groupoid
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.objstatement · cited by 19,642
- CategoryTheory.Functor.mapstatement and proof · cited by 8,698
- Set.Elemstatement and proof · cited by 7,166
- CategoryTheory.Groupoidstatement and proof · cited by 182
- CategoryTheory.Subgroupoidstatement and proof · cited by 75
- CategoryTheory.Subgroupoid.arrowsproof · cited by 53
- CategoryTheory.Subgroupoid.objsstatement and proof · cited by 29
- CategoryTheory.Subgroupoid.homstatement and proof · cited by 3
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